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Simplifying 8x + -1(5) = 5x + -1(2) Multiply -1 * 5 8x + -5 = 5x + -1(2) Reorder the terms: -5 + 8x = 5x + -1(2) Multiply -1 * 2 -5 + 8x = 5x + -2 Reorder the terms: -5 + 8x = -2 + 5x Solving -5 + 8x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 8x + -5x = -2 + 5x + -5x Combine like terms: 8x + -5x = 3x -5 + 3x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 3x = -2 + 0 -5 + 3x = -2 Add '5' to each side of the equation. -5 + 5 + 3x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -2 + 5 3x = -2 + 5 Combine like terms: -2 + 5 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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